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134070723072 = 2934111323747
BaseRepresentation
bin111110011011100111…
…1001110001000000000
3110211001121201101220000
41330313033032020000
54144034101114242
6141331412520000
712454253225436
oct1746717161000
9424047641800
10134070723072
115194a478680
1221b98020000
13c848358c00
1466bbd8cd56
15374a408a4c
hex1f373ce200

134070723072 has 1200 divisors, whose sum is σ = 495813301632. Its totient is φ = 35712368640.

The previous prime is 134070723043. The next prime is 134070723121. The reversal of 134070723072 is 270327070431.

It is a happy number.

134070723072 is a `hidden beast` number, since 1 + 340 + 7 + 0 + 7 + 2 + 307 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2852568553 + ... + 2852568599.

Almost surely, 2134070723072 is an apocalyptic number.

134070723072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134070723072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247906650816).

134070723072 is an abundant number, since it is smaller than the sum of its proper divisors (361742578560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134070723072 is a wasteful number, since it uses less digits than its factorization.

134070723072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The spelling of 134070723072 in words is "one hundred thirty-four billion, seventy million, seven hundred twenty-three thousand, seventy-two".